10430431400 has 48 divisors (see below), whose sum is σ = 24354942300. Its totient is φ = 4154247680.

The previous prime is 10430431393. The next prime is 10430431409. The reversal of 10430431400 is 413403401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5950271044 + 4480160356 = 77138^2 + 66934^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10430431409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65315 + ... + 158514.

Almost surely, 2^10430431400 is an apocalyptic number.

10430431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10430431400 is an abundant number, since it is smaller than the sum of its proper divisors (13924510900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10430431400 is a wasteful number, since it uses less digits than its factorization.

10430431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224078 (or 224069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10430431400 its reverse (413403401), we get a palindrome (10843834801).

The spelling of 10430431400 in words is "ten billion, four hundred thirty million, four hundred thirty-one thousand, four hundred".